Following the finite-size scaling of order-parameter [1]}, [2]}, we anticipate that the reduced sizes of \(S_1\)  and \(S_2\)  in a network with \(N\)  nodes and \(N_r\)  edges follow the finite-size scaling form as  [3]}, [4]}
\(s_1(r,L)\equiv S_1/L^d &=& L^{-\beta /\nu } \, \tilde{s}_1(tL^{1/\nu }),\\s_2(r,L)\equiv S_2/L^d &=& L^{-\beta /\nu } \, \tilde{s}_2(tL^{1/\nu }),\) 
